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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Journal of Communications Technology and Electronics</journal-id><journal-title-group><journal-title xml:lang="en">Journal of Communications Technology and Electronics</journal-title><trans-title-group xml:lang="ru"><trans-title>Радиотехника и электроника</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0033-8494</issn><issn publication-format="electronic">3034-5901</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">692008</article-id><article-id pub-id-type="doi">10.7868/S3034590125070039</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>THEORY AND METHODS OF SIGNAL PROCESSING</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>ТЕОРИЯ И МЕТОДЫ ОБРАБОТКИ СИГНАЛОВ</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Statistical model of directional fading for land-mobile satellite communication systems. Part 2</article-title><trans-title-group xml:lang="ru"><trans-title>Статистическая модель направленных замираний для мобильных систем спутниковой связи. Часть 2</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Karavaev</surname><given-names>D. A.</given-names></name><name xml:lang="ru"><surname>Караваев</surname><given-names>Д. А.</given-names></name></name-alternatives><email>d-a-karavaev@yandex.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Glushankov</surname><given-names>E. I.</given-names></name><name xml:lang="ru"><surname>Глушанков</surname><given-names>Е. И.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">The Bonch-Bruevich Saint Petersburg State University of Telecommunications</institution></aff><aff><institution xml:lang="ru">Санкт-Петербургский государственный университет телекоммуникаций им проф. М.А. Бонч-Бруевича</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-07-15" publication-format="electronic"><day>15</day><month>07</month><year>2025</year></pub-date><volume>70</volume><issue>7</issue><issue-title xml:lang="en">VOL 70, NO7 (2025)</issue-title><issue-title xml:lang="ru">ТОМ 70, №7 (2025)</issue-title><fpage>644</fpage><lpage>650</lpage><history><date date-type="received" iso-8601-date="2025-10-04"><day>04</day><month>10</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Российская академия наук</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/" start_date="2026-07-15"/></permissions><self-uri xlink:href="https://innoscience.ru/0033-8494/article/view/692008">https://innoscience.ru/0033-8494/article/view/692008</self-uri><abstract xml:lang="en"><p>This paper presents a refined model of the flat fading stochastic process in satellite communication channels caused by multipath propagation when using narrowbeam receiving antennas. The key improvement over prior model lies in a reparameterization that explicitly accounts for the main lobe of a typical antenna radiation pattern, following ITU-R recommendations. For the proposed model, we derive expressions for level-crossing rate and average fade duration. The simulation of DVB-S2X VL-SNR signal propagation over fading channel based on derived model was performed, which demonstrates negligible loss in error resilience under fading depths most frequently observed in practice.</p></abstract><trans-abstract xml:lang="ru"><p>Приведена уточненная модель случайного процесса плоских замираний, возникающих в спутниковых каналах связи вследствие многолучевого распространения сигнала при использовании узконаправленной приемной антенны. Уточнение представленной ранее модели заключается в иной параметризации, суть которой состоит в учете основного лепестка типовой огибающей диаграммы направленности приемной антенны согласно соответствующим рекомендациям МСЭ. Для полученной модели представлены статистические характеристики частоты пересечений уровня и средней продолжительности замираний. Проведена оценка влияния многолучевого распространения согласно представленной модели на сигнал стандарта спутниковой связи DVB-S2X VL-SNR, на основе которой можно сделать вывод о незначительной потере в помехоустойчивости для случаев глубины замираний, наиболее часто наблюдаемых на практике.</p></trans-abstract><kwd-group xml:lang="en"><kwd>fading</kwd><kwd>multipath propagation</kwd><kwd>power spectral density</kwd><kwd>highly directional antenna</kwd><kwd>satellite communication systems</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>замирания</kwd><kwd>многолучевое распространение</kwd><kwd>спектральная плотность мощности</kwd><kwd>узконаправленная антенна</kwd><kwd>спутниковые системы связи</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Караваев Д.А., Глушанков Е.И. // РЭ. 2025. Т. 70. № 7. С.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Stüber G.L. Principles of Mobile Communication. Сham: Springer, 2017.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Recommendation ITU-R F.1245–3. Mathematical Model of Average and Related Radiation Patterns for Point-to-Point Fixed Wireless System Antennas for Use in Interference Assessment in the Frequency Range from 1 GHz to 86 GHz. Geneva: Int. Commun. Union, 2019. 12 p.</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Recommendation ITU-R BO.1213. Reference Receiving Earth Station Antenna Pattern for the Broadcasting-Satellite Service in the 11.7–12.75 GHz Band. Geneva: Int. Commun. Union, 2005. 5 p.</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>Mardia K.V., Jupp P.E. Directional Statistics. Chichestar: John Wiley &amp; Sons, 2000.</mixed-citation></ref><ref id="B6"><label>6.</label><mixed-citation>Net M.S. Analysis of the Fading Channel in Downlinks from the Lunar South Pole to the Deep Space Network. IPN Progress Report 42–216. Washington: NASA, 2019. 30 p.</mixed-citation></ref><ref id="B7"><label>7.</label><mixed-citation>Hoeher P., Haas. E. // IEEE VTS50th Vehicular Technology Conf. Amsterdam. 19–22 Sept. N. Y.: IEEE, 1999. V. 4. P. 1961.</mixed-citation></ref><ref id="B8"><label>8.</label><mixed-citation>Wee Teck Ng., Dubey V.K. // IEEE Commun. Lett. 2002. V. 6. № 11. P. 472.</mixed-citation></ref><ref id="B9"><label>9.</label><mixed-citation>European Standard ETSI EN302 307–2 V1.4.1. Digital Video Broadcasting (DVB); Second generation framing structure, channel coding and modulation systems for Broadcasting, Interactive Services, News Gathering and other broadband satellite applications; Part 2: DVB-S2 Extensions (DVB-S2X). Sophia Antipolis: Europ. Standards Telecommun. Inst., 2024. 166 p.</mixed-citation></ref><ref id="B10"><label>10.</label><mixed-citation>Technical Report ETSI TR102 376–2 V1.2.1. Digital Video Broadcasting (DVB); Implementation guidelines for the second-generation system for Broadcasting, Interactive Services, News Gathering and other broadband satellite applications; Part 2: S2 Extensions (DVB-S2X). Sophia Antipolis: Europ. Standards Telecommun. Inst., 2021. 212 p.</mixed-citation></ref><ref id="B11"><label>11.</label><mixed-citation>Casini E., De Gaudenzi R., Ginesi A. // Int. J. Satellite Commun. and Networking. 2004. V. 22. P. 281. https://doi.org/10.1002/sat.791</mixed-citation></ref><ref id="B12"><label>12.</label><mixed-citation>Technical Report ETSI TR102 768 V1.1.1. Digital Video Broadcasting (DVB); Interaction channel for Satellite Distribution Systems; Guidelines for the use of EN301 790 in mobile scenarios. Sophia Antipolis: Europ. Standards Telecommun. Inst., 2009. 111 p.</mixed-citation></ref></ref-list></back></article>
